Engineering↗
Orders in Number Fields
Orders as subrings that are full-rank lattices, the equation order, the maximal order, and the index that separates them.
Every page in the KEVOS library tagged Ring of Integers. 3 pages.
Orders as subrings that are full-rank lattices, the equation order, the maximal order, and the index that separates them.
The maximal order problem, its reduction to a prime-by-prime question, and the factoring obstruction that limits it.
The field discriminant, integral bases, the index of an equation order, and why computing the maximal order reduces to factoring the polynomial discriminant.